Abstract
We prove that the closest Gaussian state to an arbitrary -mode field state through the relative entropy is built with the covariance matrix and the average displacement of the given state. Consequently, the relative entropy of an -mode state to its associate Gaussian one is an exact distance-type measure of non-Gaussianity. In order to illustrate this finding, we discuss the general properties of the -mode Fock-diagonal states and evaluate their exact entropic amount of non-Gaussianity.
- Received 25 May 2013
DOI:https://doi.org/10.1103/PhysRevA.88.012322
©2013 American Physical Society